Information on Result #679808
Linear OA(4257, 4148, F4, 54) (dual of [4148, 3891, 55]-code), using construction X applied to Ce(53) ⊂ Ce(45) based on
- linear OA(4241, 4096, F4, 54) (dual of [4096, 3855, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4205, 4096, F4, 46) (dual of [4096, 3891, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(416, 52, F4, 7) (dual of [52, 36, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4258, 4149, F4, 54) (dual of [4149, 3891, 55]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4257, 2074, F4, 2, 54) (dual of [(2074, 2), 3891, 55]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4257, 1382, F4, 3, 54) (dual of [(1382, 3), 3889, 55]-NRT-code) | [i] | ||